int main (int argc, char **argv) {
// Bet is the amount we are betting
// Payout is the amount of the payout
// Prob will hold the binomial multiplication result
// Returnp is the return probability payout
// Totalp will sum all the probability payouts
// Catchb is the number of balls you want picked
// Numb is the number of balls you want to match exactly
// We need a product to do binomial multiplication
double bet = 0.0, payout = 0.0, prob = 0.0, returnp = 0.0, totalp = 0.0;
int catchb = 0, numb = 0;
Product p;
// Our first two inputs will always be the bet and the catch
cin >> bet >> catchb;
// We always lose our initial bet
totalp -= bet;
printf("Bet: %0.2f\n", bet);
printf("Balls Picked: %d\n", catchb);
// The user can match how ever many times they would like, so this
// needs to be a while loop to allow multiple inputs
while (cin >> numb >> payout) {
// We ensure that our numerators and denominators are empty
p.Clear();
// This formula is given to us as:
// binom(80-p, 20-c) * binom(p, c) / binom(80, 20)
p.Multiply_Binom(80 - catchb, 20 - numb);
p.Multiply_Binom(catchb, numb);
p.Divide_Binom(80, 20);
prob = p.Calculate_Product();
returnp = (prob * payout);
totalp += returnp;
printf(" Probability of catching %d of %d: ", numb, catchb);
printf("%g -- Expected return: %g\n", prob, returnp);
}
printf("Your return per bet: %0.2f\n", totalp);
totalp /= bet;
printf("Normalized: %0.2f\n", totalp);
return 0;
}
